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Finding the Fourth Proportional to 24,980, 34,474.92 and 13,802

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Solution

The fourth proportional to 24,980, 34,474.92 and 13,802 is: 19,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980 : 34,474.92 = 13,802 : x
  2. Step 2: Convert to fraction form
    24,980/34,474.92 = 13,802/x
  3. Step 3: Cross multiply
    24,980x = 34,474.92 × 13,802
  4. Step 4: Simplify right side
    24,980x = 475,822,845.84
  5. Step 5: Solve for x
    x = 475,822,845.84/24,980
  6. Step 6: Final answer
    x = 19,048.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.